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420595902 = 23410923819
BaseRepresentation
bin11001000100011…
…100100010111110
31002022102111010000
4121010130202332
51330133032102
6105422455130
713265002056
oct3104344276
91068374100
10420595902
111a6462a21
12b8a344a6
13691a301c
143dc06566
1526dd101c
hex1911c8be

420595902 has 40 divisors (see below), whose sum is σ = 951132600. Its totient is φ = 138906576.

The previous prime is 420595897. The next prime is 420595907. The reversal of 420595902 is 209595024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420595897) and next prime (420595907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420595907) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5749 + ... + 29567.

It is an arithmetic number, because the mean of its divisors is an integer number (23778315).

Almost surely, 2420595902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420595902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475566300).

420595902 is an abundant number, since it is smaller than the sum of its proper divisors (530536698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420595902 is a wasteful number, since it uses less digits than its factorization.

420595902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 420595902 is about 20508.4348988410. The cubic root of 420595902 is about 749.2412486540.

It can be divided in two parts, 42059 and 5902, that added together give a square (47961 = 2192).

The spelling of 420595902 in words is "four hundred twenty million, five hundred ninety-five thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 17658 23819 47638 71457 142914 214371 428742 643113 1286226 1929339 2596271 3858678 5192542 7788813 15577626 23366439 46732878 70099317 140198634 210297951 420595902